Weakly pseudocompact subsets of nuclear groups

DOI10.1016/S0022-4049(98)00034-6zbMath0935.22004MaRDI QIDQ1295762

Wojciech Banaszczyk, Elena Martín-Peinador

Publication date: 4 May 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

countable compactnesscompactnessnuclear groupspseudocompactnesslocally compact Abelian groupnuclear locally convex spacesfunctional boundedness

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (6)

Topological properties of the group of the null sequences valued in an abelian topological group ⋮ A class of topological groups which do not admit normal compatible locally quasi-convex topologies ⋮ Invariance of compactness for the Bohr topology ⋮ Locally minimal topological groups. II ⋮ Interpolation sets in spaces of continuous metric-valued functions ⋮ Banach-Dieudonné Theorem Revisited

Cites Work

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• The maximal totally bounded group topology on G and the biggest minimal G-space, for Abelian groups G
• Continuity, boundedness, connectedness and the Lindelöf property for topological groups
• Abelian Groups which Satisfy Pontryagin Duality need not Respect Compactness
• Summable families in nuclear groups
• The Minlos lemma for positive-definite functions on additive subgroups of $ℝ^n$

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